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Finding the Third Proportional to 155,162 and 221,473.50

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Solution

The third proportional to 155,162 and 221,473.50 is: 316,124.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,162 : 221,473.50 = 221,473.50 : x
  2. Step 2: Convert to fraction form
    155,162/221,473.50 = 221,473.50/x
  3. Step 3: Cross multiply
    155,162x = 221,473.50 × 221,473.50
  4. Step 4: Simplify right side
    155,162x = 49,050,511,202.25
  5. Step 5: Solve for x
    x = 49,050,511,202.25/155,162
  6. Step 6: Final answer
    x = 316,124.51

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.